Please solve each question and show work please

1 . Find the equation of the line tangent to the circle y2 + (x - 2)2 = 25, at x = 5 (use implicitly differentiation) (-1, 7) 2. Verify that the function f (x) = x3 - 3x + 5, at - 1S x S 1 satisfy the conditions of the Mean Value Theorem. Use the graph on the right to interpreter your work. [(1, 3) 3. Find the x - intercept of f(x) = x2 - 5x + 6, and show that there is a point belonging to the interval formed by the two intercepts where f'(c) = 0 4. Find the exact position of maximum, minimum and point of inflexion if exist. Graph the function y = -25x3 + 15x2 + 10x - 6 5. Find the exact position of maximum, minimum and point of inflexion if exist. Graph the function y = 4x3 + 6x2 - 24x - 36